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Finding the Third Proportional to 21,727.50 and 47,121

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Solution

The third proportional to 21,727.50 and 47,121 is: 102,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.50 : 47,121 = 47,121 : x
  2. Step 2: Convert to fraction form
    21,727.50/47,121 = 47,121/x
  3. Step 3: Cross multiply
    21,727.50x = 47,121 × 47,121
  4. Step 4: Simplify right side
    21,727.50x = 2,220,388,641
  5. Step 5: Solve for x
    x = 2,220,388,641/21,727.50
  6. Step 6: Final answer
    x = 102,192.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.